Uncertainty propagation in simulation predictions of generalized Newtonian fluid flows

Jaekwang Kim, Piyush K. Singh, Jonathan B. Freund, Randy H. Ewoldt

Research output: Contribution to journalArticlepeer-review


We elucidate how uncertainties from rheological measurements manifest in a Generalized Newtonian Fluid (GNF) flow prediction. As specific examples, the resistance and velocity of a settling sphere under gravity in Carbopol and Polyvinylpyrrolidone (PVP) solution was predicted using a Herschel–Bulkley and a Carreau model. Uncertainties in model predictions are quantified, accounting for parametric uncertainties in geometry and rheological models. While the prediction for a settling sphere in PVP falls within the quantified uncertainty bounds, the self-consistent predictions for Carbopol do not. This quantifies the inadequacy of a GNF model for Carbopol in this configuration. Generalizing these results, a validation procedure is presented as a framework for including model-parameter uncertainties in model predictions and identifying model-form error. This information provides quantitative assessments to inform decisions.

Original languageEnglish (US)
Article number104138
JournalJournal of Non-Newtonian Fluid Mechanics
StatePublished - Sep 2019


  • Flow around sphere
  • Generalized Newtonian fluids
  • Model validation
  • Rheological modeling
  • Uncertainty quantification

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics


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